x^256-256=0

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Solution for x^256-256=0 equation:


Simplifying
x256 + -256 = 0

Reorder the terms:
-256 + x256 = 0

Solving
-256 + x256 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '256' to each side of the equation.
-256 + 256 + x256 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + x256 = 0 + 256
x256 = 0 + 256

Combine like terms: 0 + 256 = 256
x256 = 256

Simplifying
x256 = 256

Reorder the terms:
-256 + x256 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + x256 = 0

Factor a difference between two squares.
(16 + x128)(-16 + x128) = 0

Factor a difference between two squares.
(16 + x128)((4 + x64)(-4 + x64)) = 0

Factor a difference between two squares.
(16 + x128)((4 + x64)((2 + x32)(-2 + x32))) = 0

Subproblem 1

Set the factor '(16 + x128)' equal to zero and attempt to solve: Simplifying 16 + x128 = 0 Solving 16 + x128 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x128 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x128 = 0 + -16 x128 = 0 + -16 Combine like terms: 0 + -16 = -16 x128 = -16 Simplifying x128 = -16 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + x64)' equal to zero and attempt to solve: Simplifying 4 + x64 = 0 Solving 4 + x64 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x64 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x64 = 0 + -4 x64 = 0 + -4 Combine like terms: 0 + -4 = -4 x64 = -4 Simplifying x64 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + x32)' equal to zero and attempt to solve: Simplifying 2 + x32 = 0 Solving 2 + x32 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x32 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x32 = 0 + -2 x32 = 0 + -2 Combine like terms: 0 + -2 = -2 x32 = -2 Simplifying x32 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 4

Set the factor '(-2 + x32)' equal to zero and attempt to solve: Simplifying -2 + x32 = 0 Solving -2 + x32 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x32 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x32 = 0 + 2 x32 = 0 + 2 Combine like terms: 0 + 2 = 2 x32 = 2 Simplifying x32 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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